How To Find The Equation Of The Tangent Line With Derivatives Youtube This calculus video tutorial shows you how to find the equation of a tangent line with derivatives. techniques include the power rule, product rule, and imp. Watch the next lesson: khanacademy.org math differential calculus taking derivatives implicit differentiation v implicit differentiation 1?utm so.
Using Implicit Differentiation To Find The Equation Of Tangent Line This calculus 1 video tutorial explains how to find the equation of a tangent line using derivatives.derivatives fast review: youtub. Substitute the given x value into the function to find the y value or point. calculate the first derivative of f (x). plug the ordered pair into the derivative to find the slope at that point. substitute both the point and the slope from steps 1 and 3 into point slope form to find the equation for the tangent line. Suppose f(x) = cos x f (x) = cos x. find the equation of the line that is normal to the function at x = π 6 x = π 6. step 1. find the point on the function. f(π 6) = cos π 6 = 3√ 2 f (π 6) = cos π 6 = 3 2. the point is (π 6, 3√ 2) (π 6, 3 2). step 2. find the value of the derivative at x = π 6 x = π 6. Find the equation of the tangent line to the curve at this point. to determine whether the spectators are in danger in this scenario, find the x coordinate of the point where the tangent line crosses the line y = 2.8. y = 2.8. is this point safely to the right of the grandstand? or are the spectators in danger?.
Differentiation Equation Of Tangent Line Youtube Suppose f(x) = cos x f (x) = cos x. find the equation of the line that is normal to the function at x = π 6 x = π 6. step 1. find the point on the function. f(π 6) = cos π 6 = 3√ 2 f (π 6) = cos π 6 = 3 2. the point is (π 6, 3√ 2) (π 6, 3 2). step 2. find the value of the derivative at x = π 6 x = π 6. Find the equation of the tangent line to the curve at this point. to determine whether the spectators are in danger in this scenario, find the x coordinate of the point where the tangent line crosses the line y = 2.8. y = 2.8. is this point safely to the right of the grandstand? or are the spectators in danger?. To find the equation of the tangent line, we also need a point on the line. we know that f (2) = 1 2. f (2) = 1 2. since the tangent line passes through the point (2, 1 2) (2, 1 2) we can use the point slope equation of a line to find the equation of the tangent line. thus the tangent line has the equation y = − 1 4 x 1. y = − 1 4 x 1. This calculus video tutorial explains how to find the equation of the tangent line with derivatives. it explains how to write the equation of the tangent li.
Comments are closed.